 |
|
|
Mathematics of musical scales - Pythagorean tuning | A Wisdom Archive on Mathematics of musical scales - Pythagorean tuning | | Mathematics of musical scales - Pythagorean tuning A selection of articles related to Mathematics of musical scales - Pythagorean tuning | |
|
|
More material related to Mathematics Of Musical Scales can be found here:
|
|
|
| | |
Mathematics of musical scales, Mathematics of musical scales - Equal temperament, Mathematics of musical scales - Just intonation, Mathematics of musical scales - Pythagorean tuning, Mathematics of musical scales - Sound samples, Mathematics of musical scales - Source, Mathematics of musical scales - Temperament, Physics of music, Equal temperament, Interval (music), Musical tuning, Piano key frequencies, Graphical comparison of musical scales and mathematical progressions
| | |
|
ARTICLES RELATED TO Mathematics of musical scales - Pythagorean tuning | | | |  Mathematics of musical scales - Pythagorean tuning: Encyclopedia II - Mathematics of musical scales - TemperamentWestern common practice music usually cannot be played in just intonation, even when it is confined to a single key. This is because the supertonic chord, or ii-chord, which is the most important of the minor triads in a major key, serves to bridge between the dominant and subdominant, having a root at once a minor third below the root of the subdominant triad, and hence sharing two of its notes, and a fifth above the root of the dominant triad or dominant seventh chord. The problem becomes still worse when modulation, the key changes so imp ...
See also:Mathematics of musical scales, Mathematics of musical scales - Pythagorean tuning, Mathematics of musical scales - Just intonation, Mathematics of musical scales - Temperament, Mathematics of musical scales - Equal temperament, Mathematics of musical scales - Sound samples, Mathematics of musical scales - Source Read more here: » Mathematics of musical scales: Encyclopedia II - Mathematics of musical scales - Temperament |
| |
|
| | | | Mathematics of musical scales - Pythagorean tuning: Encyclopedia II - Mathematics of musical scales - Just intonation If we take the ratios constituting a scale in just intonation, there will be a largest prime number to be found among their prime factorizations. This is called the prime limit of the scale; a scale which uses only the primes 2, 3 and 5 is called a 5-limit scale. Below is a typical example of a 5-limit justly tuned scale, one of the scales Johannes Kepler presents in his Harmonice mundi or Harmonics of the World of 1619, in connection with planetary motion. The same scale was given in transposed form by Alexander Malcolm in 1721 and theorist ...
See also:Mathematics of musical scales, Mathematics of musical scales - Pythagorean tuning, Mathematics of musical scales - Just intonation, Mathematics of musical scales - Temperament, Mathematics of musical scales - Equal temperament, Mathematics of musical scales - Sound samples, Mathematics of musical scales - Source Read more here: » Mathematics of musical scales: Encyclopedia II - Mathematics of musical scales - Just intonation |
| |
|
| |
|
|
|
|
More material related to Mathematics Of Musical Scales can be found here:
|
|
|
|
| |
